428266000 has 40 divisors (see below), whose sum is σ = 1035552024. Its totient is φ = 171305600.

The previous prime is 428265991. The next prime is 428266079. The reversal of 428266000 is 662824.

It can be written as a sum of positive squares in 4 ways, for example, as 6210064 + 422055936 = 2492^2 + 20544^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 428266000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105067 + ... + 109066.

Almost surely, 2^428266000 is an apocalyptic number.

428266000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428266000 is an abundant number, since it is smaller than the sum of its proper divisors (607286024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

428266000 is a wasteful number, since it uses less digits than its factorization.

428266000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214156 (or 214140 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 428266000 is about 20694.5886646727. The cubic root of 428266000 is about 753.7682941618.

The spelling of 428266000 in words is "four hundred twenty-eight million, two hundred sixty-six thousand".